{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T06:19:14Z","timestamp":1764829154432,"version":"3.40.5"},"reference-count":38,"publisher":"Walter de Gruyter GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The problem of optimal recovering high-order mixed derivatives of bivariate functions with finite\nsmoothness is studied. Based on the truncation method, an algorithm for numerical differentiation is\nconstructed, which is order-optimal both in the sense of accuracy and in terms of the amount of involved Galerkin\ninformation. Numerical examples are provided to illustrate the fact that our approach can be implemented\nsuccessfully.<\/jats:p>","DOI":"10.1515\/cmam-2023-0137","type":"journal-article","created":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T11:01:50Z","timestamp":1704106910000},"page":"967-982","source":"Crossref","is-referenced-by-count":1,"title":["An Optimal Method for High-Order Mixed Derivatives of Bivariate Functions"],"prefix":"10.1515","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-4588-8006","authenticated-orcid":false,"given":"Evgeniya V.","family":"Semenova","sequence":"first","affiliation":[{"name":"Institute of Mathematics , National Academy of Sciences of Ukraine , Kyiv , Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7599-2233","authenticated-orcid":false,"given":"Sergiy G.","family":"Solodky","sequence":"additional","affiliation":[{"name":"Institute of Mathematics , National Academy of Sciences of Ukraine , Kyiv , Ukraine ; and University of Giessen, Department of Mathematics, Giessen, Germany"}]}],"member":"374","published-online":{"date-parts":[[2024,1,2]]},"reference":[{"key":"2024100217254062692_j_cmam-2023-0137_ref_001","doi-asserted-by":"crossref","unstructured":"S.  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